Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 12, Problem 35P
To determine
To find:
The coefficient of friction.
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A uniform ladder of length ℓ rests against a smooth, vertical wall (as shown). The mass of the ladder is m, and the coefficient of static friction between the ladder and the ground is μs = 0.40. Find the minimum angle θmin at which the ladder does not slip.
A 100-N uniform ladder, 8.0 m long, rests against a smooth vertical wall. The coefficient of static friction between ladder and floor is 0.40. What minimum angle can the ladder make with the floor before it slips?
One end of a uniform meter stick is placed against a vertical wall. The other end is held by a lightweight cord that makes an angle ? with the stick. The coefficient of static friction between the end of the meter stick and the wall is 0.400.
What is the maximum value thetheta can have if the stick is to remain in equilibrium?
Chapter 12 Solutions
Physics for Scientists and Engineers
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- A ladder of length 12.0 m with a mass of 40.0 kg leans against a smooth wall. The ladder makes a 35.0o angle with the horizontal. Draw an adequate free body diagram of the ladder and determine the minimum coefficient of static friction between the ladder and the ground necessary to prevent the ladder from slipping.arrow_forwardA uniform 5-m long ladder weighing 70 N leans against a frictioniess vertical wall. The foot of the ladder is 2 m from the wall. What is the minimum coeficient of static frictio between the ladder and the floor necessary for the ladder not to slip?arrow_forwardA uniform ladder of length L and weight w is leaning against a vertical wall. The coefficient of statis friction between the ladder and the floor is the same as that between the ladder and the wall. If this coefficient of static friction is μs= 0.500, determine the smallest angle the ladder can make with the floor without slipping.arrow_forward
- The ladder and the person weigh 50 lb and 160 lb, respectively. The center ofmass of the 10-ft ladder is at its midpoint. The coefficient of static frictionbetween the ladder and the floor is 0.70. What is the largest value of the angle alpha for which the person could climb to the top of the ladder without it slipping?arrow_forwardA uniform ladder of length L and mass m1 rests against a frictionless wall. The ladder makes an angle theta. FInd the horizontal and verticle forces the ground exerts on the base of the ladder when a firefighter of mass m2 is a distance x along the ladder of the bottom.arrow_forwardA uniform ladder 10.o m long weighing 50.0 N rests against a smooth wall (no frictional force between ladder and wall). If the coefficient of static friction is .360 and makes a 60 degree angle with respect to the horizontal, what is the frictional force and how far along the ladder can a 70.0 kg painter climb before ladder begins to slip?arrow_forward
- Problem 2: A uniform ladder of length I rests against a vertical wall with a coefficient of friction wall = 0.3. The mass of the ladder is m, and the coefficient of static friction between the ladder and the ground is μ floor = 0.40. Find the minimum angle Omin at which the ladder does not slip.arrow_forwardThe ladder and the person weigh 30N and 180N, respectively. The center of mass of the 12-m ladder is at its midpoint. The angle α=30°. Assume that the wall exerts a negligible friction force on the ladder. (a) If x=4m, what is the magnitude of the friction force exerted on the ladder by the floor? (b) What minimum coefficient of static friction between the ladder and the floor is necessary for the person to be able to climb to the top of the ladder without slipping?arrow_forwardA 355 N uniform ladder of length L= 8.00 m leans against a smooth (frictionless) wal The ladder mnakes an angle of 50.0° angle with the horizontal ground and the force of static friction keeps the ladder from sliding to the left. An 875 N firefighter has climbed d = 6.30 m along the ladder trom the bottom. What is the force of static friction f, between the ladder and the ground? 50.0 O 119 N O 480 N O 727 N O 567 N command eptienarrow_forward
- One end of a uniform meter stick is placed against a vertical wall. The other end is held by a lightweight cord that makes an angle ? with the stick. The coefficient of static friction between the end of the meter stick and the wall is 0.400. A block of the same weight as the meter stick is suspended from the stick, as shown, at a distance ? from the wall. Assume that theta= 15.0o in this problem. What is the minimum value of ? for which the stick will remain in equilibrium?arrow_forwardA ladder of length L and negligible weight leans against a frictionless vertical wall making an angle O with the horizontal. The coefficient of friction between the ladder and the floor is µs. A man of weight W climbs up the ladder. Show that the maximum distance s he can climb before the ladder slips is given by s=µ„Ltan8.arrow_forwardA uniform ladder of length L, rests against a smooth, vertical wall. If the mass of the ladder is m and the coefficient of static friction between the ladder and the groundis μs = 0.40, find the minimum angle θmin at the ladder does not slip?arrow_forward
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